A two-sample test for means was conducted to test whether the mean number of movies watched each month differed between males and females. The Excel Data Analysis tool results are shown below.t-Test: Two-Sample Assuming Unequal Variances FemaleMaleMean5.67.5Variance6.26721.833Observations1010Hypothesized Mean Difference 0 df14 t Stat −1.133 P(T<=t) one-tail 0.138 t Critical one-tail 1.76 P(T<=t) two-tail 0.276 t Critical two-tail 2.144 Explain how to use this information to draw a conclusion if the null hypothesis is μμH0: μF−μM≤0. Clearly state the correct critical value and p-value and your conclusion.Explain how to use this information to draw a conclusion if the null hypothesis is μμH0: μF−μM≥0. Clearly state the correct critical value and p-value and your conclusion.Explain how to use this information to draw a conclusion if the null hypothesis is μμH0: μF−μM=0. Clearly state the correct critical value and p-value and your conclusion.

1. The null hypothesis is H0: μF−μM≤0. Thus, the alternative hypothesis is Ha: μF−μM>0…

Answered: A two-sample test for means was…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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t-Test: Two-Sample Assuming Unequal Variances

	Female	Male
Mean	5.6	7.5
Variance	6.267	21.833
Observations	10	10
Hypothesized Mean Difference	0
df	14
t Stat	−1.133
P(T<=t) one-tail	0.138
t Critical one-tail	1.76
P(T<=t) two-tail	0.276
t Critical two-tail	2.144

Explain how to use this information to draw a conclusion if the null hypothesis is μμH0: μF−μM≤0. Clearly state the correct critical value and p-value and your conclusion.
Explain how to use this information to draw a conclusion if the null hypothesis is μμH0: μF−μM≥0. Clearly state the correct critical value and p-value and your conclusion.
Explain how to use this information to draw a conclusion if the null hypothesis is μμH0: μF−μM=0. Clearly state the correct critical value and p-value and your conclusion.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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